$9X^2-12X+4=0$ X=?

Answers

Answer 1

Answer: $9x^2-12x+4=0$

$(3x)^2-2\cdot 2\cdot3x+2^2=0$

$(3x-2)^2=0, but...(3x-2)^2 \geq 0$ , ∨ x∈R

$So, (3x-2)^2=0$

$3x-2=0$ ⇒ $3x=2$ ⇒ $\boxed { x= (2)/(3) }$

Answer 2

Answer: $9x^2-12x+4=0\n(3x-2)^2=0\n3x-2=0\n3x=2\nx=(2)/(3)$

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If an object is dropped from a height of 85 feet, the function h(t)=-16t^2+85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?a. 85.00 seconds b. 69.00 seconds c. 0.33 seconds
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A mother puts $10,000 into a special bank account on the date of birth of her first born. The account earns interest at a rate of 4%, and compounds 4 times per year. When the child turns 18, he receives the lump sum. How much will the child receive?

Answers

the equation to calculate compound percentage rate is :
A(t) = P(1+(r/n))^(nt)
In this case t is 18 years, we put rate (r), number of compounds per day.
A(18) = 10,000(1+(0.04/4))^(4*18)= 10,000(1.01)^72= $20,470.99

Child will receive $20,470.99 on it's 18 birthday.

Factor completely:

7r^2− 64r + 64

Answers

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

Which value of x is a solution to this equation?2x^2 − 4x +16 = 0

x = 3

x=2

x = -2

Answers

Answer:

Solve the equation:

2x² − 4x + 16 = 0
x² - 2x + 8 = 0
x² - 2x + 1 + 7 = 0
(x - 1)² + 7 = 0
(x - 1)² = -7

There is no solution as the square of the number can't be negative

----------------------------

Note if the equation was 2x² - 4x - 16 = 0, the solution would be:

2x² - 4x - 16 = 0
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = ± 3
x = -2, x = 4

In this case x = -2 is the correct choice

Answer:

x = -2

Step-by-step explanation:

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HELP PLEASE .... If the geometric mean between 3 and x is 6, find the value of x.

Answers

Answer:

Step-by-step explanation:

1. 3/6 = 6/x

2. Cross multiply: 3x=36

3. x=12

a car is stopped at a red light when the light turns green the car accelerates at 20 ft/sec/sec how long does it take for the car to go 1000 ft

Answers

Step-by-step explanation:

d = do + vo t + 1/2 at^2

when the car starts at zero velocity, this becomes

d = 1/2 a t^2

1000 = 1/2 (20) t^2

t^2 = 1000/ ( 1/2 * 20) shows t = 10 s

Solve -2 x + 6 = -20.

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 6 = -20

Step 2: Solve for x

Subtract 6 on both sides: -2x = -26
Divide -2 on both sides: x = 13

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -2(13) + 6 = -20
Multiply: -26 + 6 = -20
Add: -20 = -20

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

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